Assume there is a national lottery and the winning ticket is worth $10 million. one winning ticket will be selected. if there are 175175 million tickets sold, what is the chance that a buyer of one ticket will have the winning ticket?

James albemarle created a trust fund at the beginning of 2016. the income from this fund will go to his son edward. when edward reaches the age of 25, the principal of the fund will be conveyed to united charities of cleveland. mr. albemarle specified that 75 percent of trustee fees are to be paid from principal. terry jones, cpa, is the trustee. james albemarle transferred cash of $500,000, stocks worth $400,000, and rental property valued at $250,000 to the trustee of this fund. immediately invested cash of $360,000 in bonds issued by the u.s. government. commissions of $7,900 are paid on this transaction. incurred permanent repairs of $9,000 so that the property can be rented. payment is made immediately. received dividends of $8,000. of this amount, $3,000 had been declared prior to the creation of the trust fund. paid insurance expense of $4,000 on the rental property. received rental income of $10,000. paid $8,000 from the trust for trustee services rendered. conveyed cash of $7,000 to edward albemarle.

Which of the following businesses is most likely to disrupt an existing industry? a. closer connex developed an earphone that receives emails and text messages and converts them to voice messages. the first models had poor reception, but they rapidly improved over time. b. mega technologies reconfigured the components used in its touchscreen tablets to create a new type of wearable device for use in restaurants and other service industries. c. particle inc. developed a teleportation technology that can transport physical materials instantaneously across great distances. d. altrea added advanced camera technology to its premium line of smartphones so that they would take the highest-quality photos of all phones on the market.

Owns a machine that can produce two specialized products. production time for product tlx is two units per hour and for product mtv is four units per hour. the machine’s capacity is 2,100 hours per year. both products are sold to a single customer who has agreed to buy all of the company’s output up to a maximum of 3,570 units of product tlx and 1,610 units of product mtv. selling prices and variable costs per unit to produce the products follow. product tlx product mtv selling price per unit $ 11.50 $ 6.90 variable costs per unit 3.45 4.14 determine the company's most profitable sales mix and the contribution margin that results from that sales mix.